9620971200 has 252 divisors, whose sum is σ = 34584025320. Its totient is φ = 2536427520.

The previous prime is 9620971193. The next prime is 9620971253. The reversal of 9620971200 is 21790269.

9620971200 is a `hidden beast` number, since 9 + 620 + 9 + 7 + 1 + 20 + 0 = 666.

9620971200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1277847 + ... + 1285353.

Almost surely, 2^9620971200 is an apocalyptic number.

9620971200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9620971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17292012660).

9620971200 is an abundant number, since it is smaller than the sum of its proper divisors (24963054120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9620971200 is a wasteful number, since it uses less digits than its factorization.

9620971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9620971200 is about 98086.5495366210. The cubic root of 9620971200 is about 2126.8635979272.

The spelling of 9620971200 in words is "nine billion, six hundred twenty million, nine hundred seventy-one thousand, two hundred".